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Finding the Fourth Proportional to 7,798.55, 11,703.96 and 3,636.41

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Solution

The fourth proportional to 7,798.55, 11,703.96 and 3,636.41 is: 5,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.55 : 11,703.96 = 3,636.41 : x
  2. Step 2: Convert to fraction form
    7,798.55/11,703.96 = 3,636.41/x
  3. Step 3: Cross multiply
    7,798.55x = 11,703.96 × 3,636.41
  4. Step 4: Simplify right side
    7,798.55x = 42,560,379.00
  5. Step 5: Solve for x
    x = 42,560,379.00/7,798.55
  6. Step 6: Final answer
    x = 5,457.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.